Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9016/404,3515/267
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 9016,3515
Greatest Common Factor of Numerators i.e. GCF of 9016,3515 is 1 .
LCM of Denominators means LCM of 404,267 as per the given fractions.
LCM of 404,267 is 107868 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9016,3515
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9016
List of positive integer factors of 9016 that divides 9016 without a remainder.
1,2,4,7,8,14,23,28,46,49,56,92,98,161,184,196,322,392,644,1127,1288,2254,4508,9016
Factors of 3515
List of positive integer factors of 3515 that divides 3515 without a remainder.
1,5,19,37,95,185,703,3515
Greatest Common Factor
We found the factors 9016,3515 . The biggest common factor number is the GCF number.
So the greatest common factor 9016,3515 is 1.
Lets's calculate LCM of 404,267
Given numbers has no common factors except 1. So, there LCM is their product i.e 107868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/107868
Therefore, the GCF of Fractions 9016/404,3515/267 is 1/107868
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 404,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,267) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(404,267) x common factors =1 x 1 = 1
LCM(404,267) = ( 404 × 267 ) / 1
LCM(404,267) = 107868 / 1
LCM(404,267) = 107868
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 9016/404, 3515/267?
Answer: GCF of Numerators as per given numbers 9016/404, 3515/267 is
GCF of Numerators i.e. for 9016,3515 is 1
LCM of denominators i.e. for 404,267 is 107868.
Thus, GCF of Fractions is 1/107868.Finally, GCF of Fractions for 9016/404, 3515/267 is 1/107868.